Fundamentals Of Special And General Relativity Revised Edition

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FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY, Revised Edition

Author : KRORI, K. D.
Publisher : PHI Learning Pvt. Ltd.
Page : 332 pages
File Size : 44,7 Mb
Release : 2024-05-18
Category : Science
ISBN : 9789388028684

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FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY, Revised Edition by KRORI, K. D. Pdf

Relativity, apart from quantum mechanics, is the greatest wonder in science, unfolded single-handedly in the 20th century by Albert Einstein. The scientist developed general relativity as a logical sequel to special relativity. This comprehensive book presents explication of the conceptual evolution and mathematical derivations of the theories of special and general relativity. The book follows an Einsteinian approach while explaining the concepts and the theories of relativity. Divided into 14 chapters, the revised edition of the book covers elementary concepts of Special relativity, as well as the advanced studies on General relativity. The recent theories like Kerr geometry, Sagnac effect, Vaidya geometry, Raychaudhuri equation and Gravitation physics vis-à-vis Quantum physics are presented in easy-to-understand language and simple style. In addition to it, the book gives an in-depth analysis on the applications of advanced theories like Vaidya-Krori-Barua solution from author’s own research works. Apart from that, the book also discusses some of the isotropic and anisotropic cosmological models, in detail. The salient topics discussed in the revised edition of the book are extrinsic curvature, detection of gravitational waves, early universe, evolution of a dead star into a white dwarf or a neutron star or a black hole, dark matter and dark energy. This book is intended for the undergraduate and postgraduate students of Physics and Mathematics. KEY FEATURES • Step-by-step derivation of equations • Easy demagogic approach • Review questions to widen the analytical understanding of the students

General Relativity

Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 507 pages
File Size : 49,8 Mb
Release : 2010-05-15
Category : Science
ISBN : 9780226870373

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General Relativity by Robert M. Wald Pdf

"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Special & General Relativity (Concise Edition)

Author : Albert Einstein
Publisher : Simon and Schuster
Page : 130 pages
File Size : 41,7 Mb
Release : 2024-04-09
Category : Science
ISBN : 9781804175736

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Special & General Relativity (Concise Edition) by Albert Einstein Pdf

Einstein's pioneering work helped shape the cultural landscape of the world today. Now in a digestible, pocket format for the modern reader. A new, popular edition with a clear introduction, Special & General Relativity by Albert Einstein contains his core paper, 'Relativity, The Special & The General Theory: A Popular Exposition', which established his reputation as one of the greatest thinkers of our (and perhaps any) age. Also included are two of the Princeton University lectures he gave to explain his findings in more detail, on 'The Meaning of Relativity', as well as the early paper which led to his famous equation E = mc2. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative.

General Relativity

Author : Norbert Straumann
Publisher : Springer Science & Business Media
Page : 742 pages
File Size : 44,6 Mb
Release : 2012-10-09
Category : Science
ISBN : 9789400754096

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General Relativity by Norbert Straumann Pdf

This book provides a completely revised and expanded version of the previous classic edition ‘General Relativity and Relativistic Astrophysics’. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum.

Relativity for Everyone

Author : Kurt Fischer
Publisher : Springer
Page : 137 pages
File Size : 52,8 Mb
Release : 2015-07-03
Category : Science
ISBN : 9783319178912

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Relativity for Everyone by Kurt Fischer Pdf

This book, now in a revised and updated second edition, explains the theory of special and general relativity in detail without approaching Einstein's life or the historical background. The text is formulated in such a way that the reader will be able to understand the essence intuitively, and new sections have been added on time machines, the twin paradoxes, and tensors. The first part of the book focuses on the essentials of special relativity. It explains the famous equivalence between mass and energy and tells why Einstein was able to use the theory of electrodynamics as a template for his "electrodynamics of moving bodies". General relativity is then addressed, mainly with the help of thought experiments. Reference is made to the previously introduced special relativity and the equivalence principle and, using many figures, it is explained how space-time is bending under gravity. The climax of the book is the Einstein equation of gravity, which describes the way in which matter bends space-time. The reader is shown how to obtain the famous Schwarzschild solution. Moreover, the book presents a numerically correct and yet intuitive explanation of the classic effects such as light bending and the advance of the perihelion. The book concludes by explaining the Friedmann model of the big bang and why the theory of gravity does not fit with quantum theory.

General Relativity

Author : Ghanashyam Date
Publisher : CRC Press
Page : 270 pages
File Size : 54,9 Mb
Release : 2014-12-03
Category : Science
ISBN : 9781466552715

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General Relativity by Ghanashyam Date Pdf

A Broad Perspective on the Theory of General Relativity and Its Observable Implications General Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects. Employing the pedagogical style of a textbook, it includes essential ideas and just enough background material needed for readers to appreciate the issues and current research. Basics The first five chapters form the core of an introductory course on general relativity. The author traces Einstein’s arguments and presents examples of space-times corresponding to different types of gravitational fields. He discusses the adaptation of dynamics in a Riemannian geometry framework, the Einstein equation and its elementary properties, and different phenomena predicted or influenced by general relativity. Beyond Moving on to more sophisticated features of general relativity, the book presents the physical requirements of a well-defined deterministic framework for non-gravitational dynamics and describes the characterization of asymptotic space-times. After covering black holes, gravitational waves, and cosmological space-times, the book examines the evolutionary interpretation for the class of globally hyperbolic space-times, explores numerical relativity, and discusses approaches that address the challenges of general relativity.

General Relativity: The Essentials

Author : Carlo Rovelli
Publisher : Cambridge University Press
Page : 175 pages
File Size : 41,9 Mb
Release : 2021-09-09
Category : Science
ISBN : 9781316516072

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General Relativity: The Essentials by Carlo Rovelli Pdf

A straightforward introduction to General Relativity, explaining the physical, philosophical and mathematical ideas it is built on.

Relativity

Author : Hans Stephani
Publisher : Cambridge University Press
Page : 258 pages
File Size : 50,8 Mb
Release : 2004-02-12
Category : Science
ISBN : 0521010691

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Relativity by Hans Stephani Pdf

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Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

Author : David B. Malament
Publisher : University of Chicago Press
Page : 363 pages
File Size : 48,5 Mb
Release : 2012-04-02
Category : Science
ISBN : 9780226502472

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Topics in the Foundations of General Relativity and Newtonian Gravitation Theory by David B. Malament Pdf

In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.

Gravity

Author : James B. Hartle
Publisher : Cambridge University Press
Page : 605 pages
File Size : 40,7 Mb
Release : 2021-06-24
Category : Science
ISBN : 9781316517543

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Gravity by James B. Hartle Pdf

Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.

A First Course in General Relativity

Author : Bernard F. Schutz
Publisher : Cambridge University Press
Page : 396 pages
File Size : 46,7 Mb
Release : 1985-01-31
Category : Science
ISBN : 0521277035

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A First Course in General Relativity by Bernard F. Schutz Pdf

This textbook develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth.

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

Author : David B. Malament
Publisher : University of Chicago Press
Page : 363 pages
File Size : 46,5 Mb
Release : 2012-05-07
Category : Mathematics
ISBN : 9780226502458

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Topics in the Foundations of General Relativity and Newtonian Gravitation Theory by David B. Malament Pdf

In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.

A First Course in General Relativity

Author : Bernard Schutz
Publisher : Cambridge University Press
Page : 411 pages
File Size : 51,5 Mb
Release : 2009-05-14
Category : Science
ISBN : 9780521887052

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A First Course in General Relativity by Bernard Schutz Pdf

Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

Special and General Relativity

Author : Rainer Dick
Publisher : Morgan & Claypool Publishers
Page : 151 pages
File Size : 54,6 Mb
Release : 2019-02-07
Category : Science
ISBN : 9781643273808

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Special and General Relativity by Rainer Dick Pdf

This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.

General Relativity and Gravitational Waves

Author : Sanjeev Dhurandhar,Sanjit Mitra
Publisher : Springer Nature
Page : 214 pages
File Size : 48,9 Mb
Release : 2022-02-16
Category : Science
ISBN : 9783030923358

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General Relativity and Gravitational Waves by Sanjeev Dhurandhar,Sanjit Mitra Pdf

This book serves as a textbook for senior undergraduate students who are learning the subject of general relativity and gravitational waves for the first time. Both authors have been teaching the course in various forms for a few decades and have designed the book as a one stop book at basic level including derivations and exercises. A spectacular prediction of general relativity is gravitational waves. Gravitational waves were first detected by the LIGO detectors in 2015, hundred years after their prediction. Both authors are part of the LIGO Science Collaboration and were authors on the discovery paper. Therefore, a strong motivation for this book is to provide the essential concepts of general relativity theory and gravitational waves with their modern applications to students and to researchers who are new to the multi-disciplinary field of gravitational wave astronomy. One of the advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and algebraic tools that are used in general relativity.